7986006000 has 640 divisors, whose sum is σ = 33636894720. Its totient is φ = 1772928000.

The previous prime is 7986005977. The next prime is 7986006001. The reversal of 7986006000 is 6006897.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7986006001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13985715 + ... + 13986285.

It is an arithmetic number, because the mean of its divisors is an integer number (52557648).

Almost surely, 2^7986006000 is an apocalyptic number.

7986006000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7986006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16818447360).

7986006000 is an abundant number, since it is smaller than the sum of its proper divisors (25650888720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7986006000 is a wasteful number, since it uses less digits than its factorization.

7986006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 7986006000 is about 89364.4560213959. The cubic root of 7986006000 is about 1998.8331526994.

The spelling of 7986006000 in words is "seven billion, nine hundred eighty-six million, six thousand".